To calculate: The grades which are considered to be rare in a test.
In the given test grades with 5 or 6 or 7 or 8 or 9 or 10 questions guessed being correct in the test are considered to be rare
Given:
The total number of questions in the test
The number of options given for each question
Concept used:
The
Calculation:
From the given information there is only one correct answer per question, so the probability of guessing a question correct is
The probability of guessing 10 questions correctly is calculated as shown below
The probability of guessing 9 questions correctly is calculated as shown below
The probability of guessing 8 questions correctly is calculated as shown below
The probability of guessing 7 questions correctly is calculated as shown below
The probability of guessing 6 questions correct is calculated as shown below
The probability of guessing 5 questions correct is calculated as shown below
Interpretation:
The probabilities of exactly 5, 6, 7, 8, 9, 10 questions being correct when guessed are less than 0.05. Thus, all of these probabilities are considered to be rare. So, guessing 5 or more questions in the test is considered as a rare event.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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